Spectral Properties of Operators Satisfying the Generalized Weyl– Drazin Property with Applications to Machine Learning

Authors

  • S. Usha
  • D. Senthilkumar

Keywords:

Weyl spectrum, Generalized Weyl–Drazin property, Browder spectrum, Drazin invertibility, feature selection, machine learning

Abstract

In this paper, we investigate the spectral properties of bounded linear operators that

satisfy the generalized Weyl–Drazin (ℊ????????) property. We establish new inclusions and

relationships between the Drazin spectrum, poles of the resolvent, and the Weyl

spectrum. Several supporting lemmas, examples, and corollaries are presented to

illustrate the theoretical framework.

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Published

2025-09-18

How to Cite

S. Usha, & D. Senthilkumar. (2025). Spectral Properties of Operators Satisfying the Generalized Weyl– Drazin Property with Applications to Machine Learning. Utilitas Mathematica, 122(2), 1090–1099. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/2822

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